Two angles are supplementary and have measures m∠QRS=(x+40)° and m∠SRT=x° . What is the measure of ∠QRS ?(1 point)
Since two angles are supplementary, their measures sum up to 180 degrees.
Let the measure of ∠QRS be y degrees.
Then, the measure of ∠SRT is 180 - y degrees.
According to the given information:
m∠QRS = (x + 40) degrees
m∠SRT = x degrees
Using the equation for supplementary angles, we have:
(x + 40) + x = 180
2x + 40 = 180
2x = 180 - 40
2x = 140
x = 140/2
x = 70
Substituting the value of x into the expression for ∠QRS, we have:
m∠QRS = (70 + 40) = 110 degrees
Therefore, the measure of ∠QRS is 110 degrees.